0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : do_cvc5 %s %d THM 0.12/0.34 % Computer : n017.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Thu Jul 4 07:16:54 EDT 2024 0.12/0.34 % CPUTime : 0.20/0.55 %----Proving TF0_ARI 15.77/15.98 --- Run --finite-model-find --decision=internal at 15... 15.77/15.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 15.77/15.98 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.JNMnomoXp5/cvc5---1.0.5_26680.smt2 15.77/15.98 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.JNMnomoXp5/cvc5---1.0.5_26680.smt2 15.77/15.98 (declare-sort tptp.map_int_int 0) 15.77/15.98 (declare-sort tptp.bool1 0) 15.77/15.98 (declare-sort tptp.tuple02 0) 15.77/15.98 (declare-sort tptp.array_int 0) 15.77/15.98 (declare-sort tptp.ty 0) 15.77/15.98 (declare-sort tptp.uni 0) 15.77/15.98 (declare-fun tptp.sorted_sub3 (tptp.array_int Int Int) Bool) 15.77/15.98 (declare-fun tptp.qs_partition2 (tptp.array_int tptp.array_int Int Int Int Int Int) Bool) 15.77/15.98 (declare-fun tptp.permut3 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.77/15.98 (declare-fun tptp.set2 (tptp.ty tptp.uni Int tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.sorted1 (tptp.array_int) Bool) 15.77/15.98 (declare-fun tptp.const (tptp.ty tptp.ty tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.tb2t1 (tptp.uni) tptp.map_int_int) 15.77/15.98 (declare-fun tptp.sorted_sub2 (tptp.map_int_int Int Int) Bool) 15.77/15.98 (declare-fun tptp.map (tptp.ty tptp.ty) tptp.ty) 15.77/15.98 (declare-fun tptp.array_eq_sub1 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.77/15.98 (declare-fun tptp.false1 () tptp.bool1) 15.77/15.98 (declare-fun tptp.t2tb (Int) tptp.uni) 15.77/15.98 (declare-fun tptp.get2 (tptp.ty tptp.uni Int) tptp.uni) 15.77/15.98 (declare-fun tptp.occ1 (tptp.ty tptp.uni tptp.uni Int Int) Int) 15.77/15.98 (declare-fun tptp.array_eq (tptp.ty tptp.uni tptp.uni) Bool) 15.77/15.98 (declare-fun tptp.match_bool1 (tptp.ty tptp.bool1 tptp.uni tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.tb2t (tptp.uni) Int) 15.77/15.98 (declare-fun tptp.get (tptp.ty tptp.ty tptp.uni tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.set (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.t2tb2 (tptp.array_int) tptp.uni) 15.77/15.98 (declare-fun tptp.permut2 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.77/15.98 (declare-fun tptp.map_eq_sub1 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.77/15.98 (declare-fun tptp.true1 () tptp.bool1) 15.77/15.98 (declare-fun tptp.sort1 (tptp.ty tptp.uni) Bool) 15.77/15.98 (declare-fun tptp.array (tptp.ty) tptp.ty) 15.77/15.98 (declare-fun tptp.length1 (tptp.ty tptp.uni) Int) 15.77/15.98 (declare-fun tptp.make1 (tptp.ty Int tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.permut_sub1 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.77/15.98 (declare-fun tptp.t2tb1 (tptp.map_int_int) tptp.uni) 15.77/15.98 (declare-fun tptp.mk_ref (tptp.ty tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.mk_array1 (tptp.ty Int tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.int () tptp.ty) 15.77/15.98 (declare-fun tptp.exchange3 (tptp.ty tptp.uni tptp.uni Int Int) Bool) 15.77/15.98 (declare-fun tptp.elts (tptp.ty tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.contents (tptp.ty tptp.uni) tptp.uni) 15.77/15.98 (declare-fun tptp.ref (tptp.ty) tptp.ty) 15.77/15.98 (declare-fun tptp.tb2t2 (tptp.uni) tptp.array_int) 15.77/15.98 (declare-fun tptp.exchange2 (tptp.ty tptp.uni tptp.uni Int Int Int Int) Bool) 15.77/15.98 (declare-fun tptp.witness1 (tptp.ty) tptp.uni) 15.77/15.98 (declare-fun tptp.tuple03 () tptp.tuple02) 15.77/15.98 (declare-fun tptp.permut_all (tptp.ty tptp.uni tptp.uni) Bool) 15.77/15.98 (define @v.1.V () (alf.var "V" Int)) 15.77/15.98 (define @v.2.X () (alf.var "X" tptp.map_int_int)) 15.77/15.98 (define @v.1.Z () (alf.var "Z" Int)) 15.77/15.98 (define @v.0.L () (alf.var "L" Int)) 15.77/15.98 (define @v.0.BOUND_VARIABLE_1509 () (alf.var "BOUND_VARIABLE_1509" Int)) 15.77/15.98 (define @v.1.A3 () (alf.var "A3" tptp.map_int_int)) 15.77/15.98 (define @v.1.U () (alf.var "U" tptp.uni)) 15.77/15.98 (define @v.0.X1 () (alf.var "X1" tptp.uni)) 15.77/15.98 (define @v.0.Mr () (alf.var "Mr" Int)) 15.77/15.98 (define @v.1.I () (alf.var "I" tptp.array_int)) 15.77/15.98 (define @v.1.A () (alf.var "A" Int)) 15.77/15.98 (define @v.0.BOUND_VARIABLE_1503 () (alf.var "BOUND_VARIABLE_1503" Int)) 15.77/15.98 (define @v.0.Ml1 () (alf.var "Ml1" Int)) 15.77/15.98 (define @v.0.J () (alf.var "J" Int)) 15.77/15.98 (define @v.2.A1 () (alf.var "A1" tptp.array_int)) 15.77/15.98 (define @v.0.R () (alf.var "R" Int)) 15.77/15.98 (define @v.1.A2 () (alf.var "A2" tptp.map_int_int)) 15.77/15.98 (define @v.0.U () (alf.var "U" Int)) 15.77/15.98 (define @v.3.A () (alf.var "A" tptp.array_int)) 15.77/15.98 (define @v.0.Ml () (alf.var "Ml" Int)) 15.77/15.98 (define @v.0.B1 () (alf.var "B1" tptp.uni)) 15.77/15.98 (define @v.0.L2 () (alf.var "L2" Int)) 15.77/15.98 (define @v.0.M2 () (alf.var "M2" tptp.uni)) 15.77/15.98 (define @v.1.A1 () (alf.var "A1" tptp.map_int_int)) 15.77/15.98 (define @v.0.A2 () (alf.var "A2" tptp.uni)) 15.77/15.98 (define @v.0.K () (alf.var "K" Int)) 15.77/15.98 (define @v.1.X () (alf.var "X" tptp.uni)) 15.77/15.98 (define @v.0.I () (alf.var "I" Int)) 15.77/15.98 (define @v.0.N () (alf.var "N" Int)) 15.77/15.98 (define @v.1.X1 () (alf.var "X1" Int)) 15.77/15.98 (define @v.0.V () (alf.var "V" tptp.uni)) 15.77/15.98 (define @v.0.B () (alf.var "B" tptp.ty)) 15.77/15.98 (define @v.4.X () (alf.var "X" tptp.bool1)) 15.77/15.98 (define @v.2.U () (alf.var "U" tptp.tuple02)) 15.77/15.98 (define @v.0.A1 () (alf.var "A1" tptp.uni)) 15.77/15.98 (define @v.0.M () (alf.var "M" tptp.uni)) 15.77/15.98 (define @v.0.U1 () (alf.var "U1" Int)) 15.77/15.98 (define @v.0.I1 () (alf.var "I1" Int)) 15.77/15.98 (define @v.0.M1 () (alf.var "M1" tptp.uni)) 15.77/15.98 (define @v.0.Z1 () (alf.var "Z1" tptp.uni)) 15.77/15.98 (define @v.1.J () (alf.var "J" tptp.uni)) 15.77/15.98 (define @v.0.Z () (alf.var "Z" tptp.uni)) 15.77/15.98 (define @v.0.X () (alf.var "X" Int)) 15.77/15.98 (define @v.0.A3 () (alf.var "A3" tptp.uni)) 15.77/15.98 (define @v.0.I2 () (alf.var "I2" Int)) 15.77/15.98 (define @v.2.A () (alf.var "A" tptp.map_int_int)) 15.77/15.98 (define @v.2.I () (alf.var "I" tptp.map_int_int)) 15.77/15.98 (define @v.0.U2 () (alf.var "U2" Int)) 15.77/15.98 (define @v.0.L1 () (alf.var "L1" Int)) 15.77/15.98 (define @v.0.A () (alf.var "A" tptp.ty)) 15.77/15.98 (define @v.0.X2 () (alf.var "X2" tptp.uni)) 15.77/15.98 (define @v.3.X () (alf.var "X" tptp.array_int)) 15.77/15.98 (define @v.2.A2 () (alf.var "A2" tptp.array_int)) 15.77/15.98 (define @v.0.BOUND_VARIABLE_1513 () (alf.var "BOUND_VARIABLE_1513" tptp.map_int_int)) 15.77/15.98 (define @v.1.U1 () (alf.var "U1" tptp.uni)) 15.77/15.98 (define @v.3.U () (alf.var "U" tptp.bool1)) 15.77/15.98 (define @v.0.Mid () (alf.var "Mid" Int)) 15.77/15.98 (define @v.0.Y () (alf.var "Y" Int)) 15.77/15.98 (define @v.0.BOUND_VARIABLE_1511 () (alf.var "BOUND_VARIABLE_1511" Int)) 15.77/15.98 (define @v.0.BOUND_VARIABLE_1505 () (alf.var "BOUND_VARIABLE_1505" Int)) 15.77/15.98 (define @v.0.BOUND_VARIABLE_1507 () (alf.var "BOUND_VARIABLE_1507" tptp.map_int_int)) 15.77/15.98 (define @t1 () (tptp.array @v.0.A)) 15.77/15.98 (define @t2 () (@list @v.0.A @v.0.X @v.0.X1)) 15.77/15.98 (define @t3 () (tptp.get @v.0.B @v.0.A (tptp.set @v.0.B @v.0.A @v.0.M @v.0.A1 @v.0.B1) @v.0.A2)) 15.77/15.98 (define @t4 () (= @v.0.A1 @v.0.A2)) 15.77/15.98 (define @t5 () (tptp.sort1 @v.0.B @v.0.B1)) 15.77/15.98 (define @t6 () (= (tptp.occ1 @v.0.A @v.0.V @v.0.M1 @v.0.L @v.0.U) (tptp.occ1 @v.0.A @v.0.V @v.0.M2 @v.0.L @v.0.U))) 15.77/15.98 (define @t7 () (@list @v.0.V)) 15.77/15.98 (define @t8 () (tptp.permut2 @v.0.A @v.0.M1 @v.0.M2 @v.0.L @v.0.U)) 15.77/15.98 (define @t9 () (tptp.sort1 @v.0.A @v.0.V)) 15.77/15.98 (define @t10 () (@list @v.0.A @v.0.Z @v.0.Z1)) 15.77/15.98 (define @t11 () (tptp.map @v.0.A @v.0.B)) 15.77/15.98 (define @t12 () (tptp.map tptp.int tptp.int)) 15.77/15.98 (define @t13 () (tptp.permut2 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.77/15.98 (define @t14 () (tptp.t2tb1 @v.1.A1)) 15.77/15.98 (define @t15 () (tptp.tb2t (tptp.get tptp.int tptp.int @t14 (tptp.t2tb @v.0.L)))) 15.77/15.98 (define @t16 () (tptp.t2tb @v.0.J)) 15.77/15.98 (define @t17 () (tptp.t2tb1 @v.1.A3)) 15.77/15.98 (define @t18 () (<= @v.0.L @v.0.J)) 15.77/15.98 (define @t19 () (@list @v.0.J)) 15.77/15.98 (define @t20 () (tptp.mk_array1 tptp.int @v.1.A @t17)) 15.77/15.98 (define @t21 () (tptp.t2tb1 @v.1.A2)) 15.77/15.98 (define @t22 () (tptp.mk_array1 tptp.int @v.1.A @t21)) 15.77/15.98 (define @t23 () (<= 0 @v.1.A)) 15.77/15.98 (define @t24 () (<= 0 @v.0.I)) 15.77/15.98 (define @t25 () (< @v.0.I @v.1.A)) 15.77/15.98 (define @t26 () (tptp.t2tb @v.0.I)) 15.77/15.98 (define @t27 () (tptp.tb2t (tptp.get tptp.int tptp.int @t21 @t16))) 15.77/15.98 (define @t28 () (< @v.0.J @v.0.Ml)) 15.77/15.98 (define @t29 () (tptp.mk_array1 tptp.int @v.1.A @t14)) 15.77/15.98 (define @t30 () (< @v.0.J @v.0.R)) 15.77/15.98 (define @t31 () (<= @v.0.Mr @v.0.J)) 15.77/15.98 (define @t32 () (<= @v.0.Ml @v.0.J)) 15.77/15.98 (define @t33 () (<= 0 @v.0.L)) 15.77/15.98 (define @t34 () (not (forall (@list @v.1.A @v.1.A1 @v.0.L @v.0.R) (=> (and (<= @v.0.R @v.1.A) (<= @v.0.L @v.0.R) @t33 @t23) (=> (< (+ @v.0.L 1) @v.0.R) (=> (and (< @v.0.L @v.1.A) @t33) (forall (@list @v.0.I @v.0.Mr @v.0.Ml @v.1.A2) (=> (and (< @v.0.Ml @v.0.I) (forall @t19 (=> (and @t32 (< @v.0.J @v.0.I)) (= @t27 @t15))) (forall @t19 (=> (and @t31 @t30) (< @t15 @t27))) (tptp.permut_sub1 tptp.int @t29 @t22 @v.0.L @v.0.R) (forall @t19 (=> (and @t28 @t18) (< @t27 @t15))) (<= @v.0.Mr @v.0.R) (<= @v.0.I @v.0.Mr) (<= @v.0.L @v.0.Ml)) (=> (< @v.0.I @v.0.Mr) (=> (and @t23 @t24 @t25) (=> (< (tptp.tb2t (tptp.get tptp.int tptp.int @t21 @t26)) @t15) (=> (and (<= 0 @v.0.Ml) (< @v.0.Ml @v.1.A) @t25 @t24) (forall (@list @v.1.A3) (=> (and @t23 (tptp.exchange3 tptp.int @t22 @t20 @v.0.Ml @v.0.I)) (forall (@list @v.0.Ml1) (=> (= @v.0.Ml1 (+ @v.0.Ml 1)) (forall (@list @v.0.I1) (=> (= @v.0.I1 (+ @v.0.I 1)) (=> (tptp.permut_sub1 tptp.int @t22 @t20 @v.0.L @v.0.R) (forall @t19 (=> (and (< @v.0.J @v.0.Ml1) @t18) (< (tptp.tb2t (tptp.get tptp.int tptp.int @t17 @t16)) @t15)))))))))))))))))))))) 15.77/15.98 (define @t35 () (tptp.ref @v.0.A)) 15.77/15.98 (define @t36 () (@list @v.0.A @v.1.U)) 15.77/15.98 (define @t37 () (- @v.0.U 1)) 15.77/15.98 (define @t38 () (tptp.occ1 @v.0.A @v.0.V @v.0.M @v.0.L @t37)) 15.77/15.98 (define @t39 () (tptp.occ1 @v.0.A @v.0.V @v.0.M @v.0.L @v.0.U)) 15.77/15.98 (define @t40 () (= (tptp.get @v.0.A tptp.int @v.0.M (tptp.t2tb @t37)) @v.0.V)) 15.77/15.98 (define @t41 () (< @v.0.L @v.0.U)) 15.77/15.98 (define @t42 () (@list @v.0.A @v.0.V @v.0.M @v.0.L @v.0.U)) 15.77/15.98 (define @t43 () (tptp.exchange2 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I @v.0.J)) 15.77/15.98 (define @t44 () (<= @v.0.L @v.0.I)) 15.77/15.98 (define @t45 () (tptp.get @v.0.A tptp.int @v.0.A1 @t26)) 15.77/15.98 (define @t46 () (= @t45 (tptp.get @v.0.A tptp.int @v.0.A2 @t16))) 15.77/15.98 (define @t47 () (tptp.get @v.0.A tptp.int @v.0.A2 @t26)) 15.77/15.98 (define @t48 () (tptp.get @v.0.A tptp.int @v.0.A1 @t16)) 15.77/15.98 (define @t49 () (= @t48 @t47)) 15.77/15.98 (define @t50 () (tptp.t2tb @v.0.K)) 15.77/15.98 (define @t51 () (= (tptp.get @v.0.A tptp.int @v.0.A1 @t50) (tptp.get @v.0.A tptp.int @v.0.A2 @t50))) 15.77/15.98 (define @t52 () (@list @v.0.K)) 15.77/15.98 (define @t53 () (< @v.0.J @v.0.U)) 15.77/15.98 (define @t54 () (< @v.0.I @v.0.U)) 15.77/15.98 (define @t55 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I @v.0.J)) 15.77/15.98 (define @t56 () (forall @t55 (= (and @t54 @t53 (forall @t52 (=> (and (< @v.0.K @v.0.U) (<= @v.0.L @v.0.K)) (=> (not (= @v.0.K @v.0.I)) (=> (not (= @v.0.K @v.0.J)) @t51)))) @t49 @t46 @t18 @t44) @t43))) 15.77/15.98 (define @t57 () (tptp.permut_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.77/15.98 (define @t58 () (tptp.length1 @v.0.A @v.0.A1)) 15.77/15.98 (define @t59 () (<= @v.0.U @t58)) 15.77/15.98 (define @t60 () (and @t18 @t53)) 15.77/15.98 (define @t61 () (and @t44 @t54)) 15.77/15.98 (define @t62 () (tptp.exchange3 @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.0.J)) 15.77/15.98 (define @t63 () (tptp.permut_all @v.0.A @v.0.A1 @v.0.A2)) 15.77/15.98 (define @t64 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.0.J)) 15.77/15.98 (define @t65 () (and @t54 @t44)) 15.77/15.98 (define @t66 () (@list @v.0.I)) 15.77/15.98 (define @t67 () (= @t39 0)) 15.77/15.98 (define @t68 () (tptp.get @v.0.A tptp.int @v.0.M @t26)) 15.77/15.98 (define @t69 () (= @t68 @v.0.V)) 15.77/15.98 (define @t70 () (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.77/15.98 (define @t71 () (tptp.t2tb1 @v.2.A)) 15.77/15.98 (define @t72 () (tptp.t2tb2 @v.3.A)) 15.77/15.98 (define @t73 () (tptp.tb2t1 (tptp.elts tptp.int @t72))) 15.77/15.98 (define @t74 () (@list @v.1.J)) 15.77/15.98 (define @t75 () (tptp.elts @v.0.A @v.0.A1)) 15.77/15.98 (define @t76 () (@list @v.0.A @v.1.X)) 15.77/15.98 (define @t77 () (= @t58 (tptp.length1 @v.0.A @v.0.A2))) 15.77/15.98 (define @t78 () (tptp.elts @v.0.A @v.0.A2)) 15.77/15.98 (define @t79 () (and (tptp.exchange2 @v.0.A @t75 @t78 0 @t58 @v.0.I @v.0.J) @t77)) 15.77/15.98 (define @t80 () (forall @t64 (= @t79 @t62))) 15.77/15.98 (define @t81 () (tptp.permut3 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)) 15.77/15.98 (define @t82 () (<= 0 @v.0.U)) 15.77/15.98 (define @t83 () (<= @v.0.L @t58)) 15.77/15.98 (define @t84 () (tptp.t2tb2 @v.2.A2)) 15.77/15.98 (define @t85 () (tptp.tb2t (tptp.get2 tptp.int @t84 @v.0.J))) 15.77/15.98 (define @t86 () (@list @v.0.A @v.0.A1 @v.0.A2)) 15.77/15.98 (define @t87 () (tptp.map tptp.int @v.0.A)) 15.77/15.98 (define @t88 () (tptp.mk_array1 @v.0.A @v.0.U @v.1.U1)) 15.77/15.98 (define @t89 () (tptp.length1 @v.0.A @t88)) 15.77/15.98 (define @t90 () (@list @v.0.A @v.0.U @v.1.U1)) 15.77/15.98 (define @t91 () (forall @t90 (= @t89 @v.0.U))) 15.77/15.98 (define @t92 () (tptp.elts @v.0.A @t88)) 15.77/15.98 (define @t93 () (tptp.sort1 @t87 @v.1.U1)) 15.77/15.98 (define @t94 () (forall @t90 (=> @t93 (= @t92 @v.1.U1)))) 15.77/15.98 (define @t95 () (forall (@list @v.0.A @v.0.A1 @v.0.I) (= (tptp.get2 @v.0.A @v.0.A1 @v.0.I) (tptp.get @v.0.A tptp.int @t75 @t26)))) 15.77/15.98 (define @t96 () (tptp.t2tb1 @v.0.BOUND_VARIABLE_1513)) 15.77/15.98 (define @t97 () (* -1 @v.0.BOUND_VARIABLE_1511)) 15.77/15.98 (define @t98 () (tptp.mk_array1 tptp.int @v.1.A @t96)) 15.77/15.98 (define @t99 () (tptp.t2tb1 @v.0.BOUND_VARIABLE_1507)) 15.77/15.98 (define @t100 () (tptp.mk_array1 tptp.int @v.1.A @t99)) 15.77/15.98 (define @t101 () (* -1 @v.0.BOUND_VARIABLE_1505)) 15.77/15.98 (define @t102 () (* -1 @v.0.BOUND_VARIABLE_1503)) 15.77/15.98 (define @t103 () (* -1 @v.0.BOUND_VARIABLE_1509)) 15.77/15.98 (define @t104 () (+ @v.0.BOUND_VARIABLE_1503 @t103)) 15.77/15.98 (define @t105 () (tptp.tb2t (tptp.get tptp.int tptp.int @t99 @t16))) 15.77/15.98 (define @t106 () (+ @t15 (* -1 @t105))) 15.77/15.98 (define @t107 () (* -1 @v.0.J)) 15.77/15.98 (define @t108 () (>= (+ @v.0.L @t107) 1)) 15.77/15.98 (define @t109 () (>= (+ @v.0.J @t101) 0)) 15.77/15.98 (define @t110 () (* -1 @v.0.R)) 15.77/15.98 (define @t111 () (+ @v.0.L @t110)) 15.77/15.98 (define @t112 () (or (not (>= (+ @v.1.A @t110) 0)) (>= @t111 1) (not (>= @v.0.L 0)) (not (>= @v.1.A 0)) (>= @t111 -1) (>= (+ @v.0.L (* -1 @v.1.A)) 0) (not (>= (+ @v.0.BOUND_VARIABLE_1503 @t101) 1)) (not (forall @t19 (or (not @t109) (>= (+ @v.0.J @t102) 0) (= @t15 @t105)))) (not (forall @t19 (or (not (>= (+ @v.0.J @t103) 0)) (not (>= (+ @v.0.R @t107) 1)) (not (>= @t106 0))))) (not (tptp.permut_sub1 tptp.int @t29 @t100 @v.0.L @v.0.R)) (not (forall @t19 (or @t109 @t108 (>= @t106 1)))) (not (>= (+ @v.0.R @t103) 0)) (>= @t104 1) (>= (+ @v.0.L @t101) 1) (>= @t104 0) (not (>= @v.0.BOUND_VARIABLE_1503 0)) (not (>= (+ @v.1.A @t102) 1)) (not (>= (+ @t15 (* -1 (tptp.tb2t (tptp.get tptp.int tptp.int @t99 (tptp.t2tb @v.0.BOUND_VARIABLE_1503))))) 1)) (not (>= @v.0.BOUND_VARIABLE_1505 0)) (not (>= (+ @v.1.A @t101) 1)) (not (tptp.exchange3 tptp.int @t100 @t98 @v.0.BOUND_VARIABLE_1505 @v.0.BOUND_VARIABLE_1503)) (not (tptp.permut_sub1 tptp.int @t100 @t98 @v.0.L @v.0.R)) (not (>= (+ @v.0.BOUND_VARIABLE_1505 @t97) 0)) (>= (+ @v.0.L @t97) 1) (>= (+ @t15 (* -1 (tptp.tb2t (tptp.get tptp.int tptp.int @t96 (tptp.t2tb @v.0.BOUND_VARIABLE_1511))))) 1))) 15.77/15.98 (define @t113 () (@list @v.1.A @v.1.A1 @v.0.L @v.0.R @v.0.BOUND_VARIABLE_1513 @v.0.BOUND_VARIABLE_1511 @v.0.BOUND_VARIABLE_1509 @v.0.BOUND_VARIABLE_1507 @v.0.BOUND_VARIABLE_1505 @v.0.BOUND_VARIABLE_1503)) 15.77/15.98 (define @t114 () (forall @t113 @t112)) 15.77/15.98 (define @t115 () (not @t114)) 15.77/15.98 (define @t116 () (exists @t113 (not @t112))) 15.77/15.98 (define @t117 () (@quantifiers_skolemize @t116 @v.0.BOUND_VARIABLE_1511)) 15.77/15.98 (define @t118 () (tptp.t2tb @t117)) 15.77/15.98 (define @t119 () (@quantifiers_skolemize @t116 @v.0.BOUND_VARIABLE_1513)) 15.77/15.98 (define @t120 () (tptp.t2tb1 @t119)) 15.77/15.98 (define @t121 () (tptp.tb2t (tptp.get tptp.int tptp.int @t120 @t118))) 15.77/15.98 (define @t122 () (* -1 @t121)) 15.77/15.98 (define @t123 () (@quantifiers_skolemize @t116 @v.0.L)) 15.77/15.98 (define @t124 () (tptp.t2tb1 (@quantifiers_skolemize @t116 @v.1.A1))) 15.77/15.98 (define @t125 () (tptp.tb2t (tptp.get tptp.int tptp.int @t124 (tptp.t2tb @t123)))) 15.77/15.98 (define @t126 () (+ @t125 @t122)) 15.77/15.98 (define @t127 () (>= @t126 1)) 15.77/15.98 (define @t128 () (* -1 @t117)) 15.77/15.98 (define @t129 () (+ @t123 @t128)) 15.77/15.98 (define @t130 () (>= @t129 1)) 15.77/15.98 (define @t131 () (@quantifiers_skolemize @t116 @v.0.BOUND_VARIABLE_1505)) 15.77/15.98 (define @t132 () (* -1 @t131)) 15.77/15.98 (define @t133 () (+ @t117 @t132)) 15.77/15.98 (define @t134 () (>= @t133 1)) 15.77/15.98 (define @t135 () (@quantifiers_skolemize @t116 @v.0.R)) 15.77/15.98 (define @t136 () (@quantifiers_skolemize @t116 @v.1.A)) 15.77/15.98 (define @t137 () (tptp.mk_array1 tptp.int @t136 @t120)) 15.77/15.98 (define @t138 () (@quantifiers_skolemize @t116 @v.0.BOUND_VARIABLE_1507)) 15.77/15.98 (define @t139 () (tptp.t2tb1 @t138)) 15.77/15.98 (define @t140 () (tptp.mk_array1 tptp.int @t136 @t139)) 15.77/15.98 (define @t141 () (not (tptp.permut_sub1 tptp.int @t140 @t137 @t123 @t135))) 15.77/15.98 (define @t142 () (@quantifiers_skolemize @t116 @v.0.BOUND_VARIABLE_1503)) 15.77/15.98 (define @t143 () (tptp.exchange3 tptp.int @t140 @t137 @t131 @t142)) 15.77/15.98 (define @t144 () (not @t143)) 15.77/15.98 (define @t145 () (not (>= (+ @t136 @t132) 1))) 15.77/15.98 (define @t146 () (>= @t131 0)) 15.77/15.98 (define @t147 () (not @t146)) 15.77/15.98 (define @t148 () (tptp.t2tb @t142)) 15.77/15.98 (define @t149 () (tptp.tb2t (tptp.get tptp.int tptp.int @t139 @t148))) 15.77/15.98 (define @t150 () (+ @t125 (* -1 @t149))) 15.77/15.98 (define @t151 () (>= @t150 1)) 15.77/15.98 (define @t152 () (not @t151)) 15.77/15.98 (define @t153 () (* -1 @t142)) 15.77/15.98 (define @t154 () (+ @t136 @t153)) 15.77/15.98 (define @t155 () (>= @t154 1)) 15.77/15.98 (define @t156 () (not @t155)) 15.77/15.98 (define @t157 () (>= @t142 0)) 15.77/15.98 (define @t158 () (not @t157)) 15.77/15.98 (define @t159 () (@quantifiers_skolemize @t116 @v.0.BOUND_VARIABLE_1509)) 15.77/15.98 (define @t160 () (+ @t159 @t153)) 15.77/15.98 (define @t161 () (>= (+ @t123 @t132) 1)) 15.77/15.98 (define @t162 () (* -1 @t159)) 15.77/15.98 (define @t163 () (not (>= (+ @t135 @t162) 0))) 15.77/15.98 (define @t164 () (tptp.tb2t (tptp.get tptp.int tptp.int @t139 @t16))) 15.77/15.98 (define @t165 () (+ @t125 (* -1 @t164))) 15.77/15.98 (define @t166 () (>= @t165 1)) 15.77/15.98 (define @t167 () (* -1 @t123)) 15.77/15.98 (define @t168 () (>= (+ @v.0.J @t132) 0)) 15.77/15.98 (define @t169 () (forall @t19 (or @t168 (not (>= (+ @v.0.J @t167) 0)) @t166))) 15.77/15.98 (define @t170 () (not @t169)) 15.77/15.98 (define @t171 () (not (tptp.permut_sub1 tptp.int (tptp.mk_array1 tptp.int @t136 @t124) @t140 @t123 @t135))) 15.77/15.98 (define @t172 () (not (>= @t165 0))) 15.77/15.98 (define @t173 () (* -1 @t135)) 15.77/15.98 (define @t174 () (not (>= (+ @v.0.J @t162) 0))) 15.77/15.98 (define @t175 () (not (forall @t19 (or (not @t168) (>= (+ @v.0.J @t153) 0) (= @t125 @t164))))) 15.77/15.98 (define @t176 () (+ @t131 @t153)) 15.77/15.98 (define @t177 () (>= @t176 0)) 15.77/15.98 (define @t178 () (+ @t123 @t173)) 15.77/15.98 (define @t179 () (>= @t178 -1)) 15.77/15.98 (define @t180 () (not (>= @t136 0))) 15.77/15.98 (define @t181 () (>= @t123 0)) 15.77/15.98 (define @t182 () (not @t181)) 15.77/15.98 (define @t183 () (>= @t178 1)) 15.77/15.98 (define @t184 () (not (>= (+ @t136 @t173) 0))) 15.77/15.98 (define @t185 () (or @t184 @t183 @t182 @t180 @t179 (not (>= (+ @t136 @t167) 1)) @t177 @t175 (not (forall @t19 (or @t174 (>= (+ @v.0.J @t173) 0) @t172))) @t171 @t170 @t163 (not (>= @t160 0)) @t161 (not (>= @t160 1)) @t158 @t156 @t152 @t147 @t145 @t144 @t141 @t134 @t130 @t127)) 15.77/15.98 (define @t186 () (not @t185)) 15.77/15.98 (define @t187 () (+ @t142 @t162)) 15.77/15.98 (define @t188 () (not (or @t184 @t183 @t182 @t180 @t179 (>= (+ @t123 (* -1 @t136)) 0) (not (>= (+ @t142 @t132) 1)) @t175 (not (forall @t19 (or @t174 (not (>= (+ @t135 @t107) 1)) @t172))) @t171 (not (forall @t19 (or @t168 (>= (+ @t123 @t107) 1) @t166))) @t163 (>= @t187 1) @t161 (>= @t187 0) @t158 @t156 @t152 @t147 @t145 @t144 @t141 (not (>= (+ @t131 @t128) 0)) @t130 @t127))) 15.77/15.98 (define @t189 () (not @t127)) 15.77/15.98 (define @t190 () (tptp.elts tptp.int @t137)) 15.77/15.98 (define @t191 () (= @t120 @t190)) 15.77/15.98 (define @t192 () (not (tptp.sort1 @t12 @t120))) 15.77/15.98 (define @t193 () (or @t192 @t191)) 15.77/15.98 (define @t194 () (@list tptp.int @t136 @t139)) 15.77/15.98 (define @t195 () (tptp.elts tptp.int @t140)) 15.77/15.98 (define @t196 () (= @t139 @t195)) 15.77/15.98 (define @t197 () (not (tptp.sort1 @t12 @t139))) 15.77/15.98 (define @t198 () (or @t197 @t196)) 15.77/15.98 (define @t199 () (@list @t117)) 15.77/15.98 (define @t200 () (tptp.tb2t (tptp.get tptp.int tptp.int @t139 @t118))) 15.77/15.98 (define @t201 () (* -1 @t200)) 15.77/15.98 (define @t202 () (+ @t125 @t201)) 15.77/15.98 (define @t203 () (>= @t202 1)) 15.77/15.98 (define @t204 () (>= @t133 0)) 15.77/15.98 (define @t205 () (or @t204 @t130 @t203)) 15.77/15.98 (define @t206 () (tptp.t2tb @t131)) 15.77/15.98 (define @t207 () (tptp.get tptp.int tptp.int @t190 @t206)) 15.77/15.98 (define @t208 () (tptp.get2 tptp.int @t137 @t131)) 15.77/15.98 (define @t209 () (= @t207 @t208)) 15.77/15.98 (define @t210 () (* -1 @v.0.I)) 15.77/15.98 (define @t211 () (* -1 @v.0.K)) 15.77/15.98 (define @t212 () (forall @t55 (= @t43 (and (>= (+ @v.0.U @t210) 1) (>= (+ @v.0.U @t107) 1) (forall @t52 (or (not (>= (+ @v.0.U @t211) 1)) (>= (+ @v.0.L @t211) 1) (= @v.0.I @v.0.K) (= @v.0.J @v.0.K) @t51)) @t49 @t46 (not @t108) (not (>= (+ @v.0.L @t210) 1)))))) 15.77/15.98 (define @t213 () (tptp.length1 tptp.int @t140)) 15.77/15.98 (define @t214 () (= (tptp.get tptp.int tptp.int @t195 @t206) (tptp.get tptp.int tptp.int @t190 @t148))) 15.77/15.98 (define @t215 () (= (tptp.get tptp.int tptp.int @t195 @t148) @t207)) 15.77/15.98 (define @t216 () (= (tptp.get tptp.int tptp.int @t195 @t50) (tptp.get tptp.int tptp.int @t190 @t50))) 15.77/15.98 (define @t217 () (tptp.exchange2 tptp.int @t195 @t190 0 @t213 @t131 @t142)) 15.77/15.98 (define @t218 () (* -1 @t213)) 15.77/15.98 (define @t219 () (forall @t52 (or (>= (+ @v.0.K @t218) 0) (not (>= @v.0.K 0)) (= @v.0.K @t131) (= @v.0.K @t142) @t216))) 15.77/15.98 (define @t220 () (and (not (>= (+ @t131 @t218) 0)) (not (>= (+ @t142 @t218) 0)) @t219 @t215 @t214 @t157 @t146)) 15.77/15.98 (define @t221 () (= @t217 @t220)) 15.77/15.98 (define @t222 () (and @t217 (= @t213 (tptp.length1 tptp.int @t137)))) 15.77/15.98 (define @t223 () (= @t143 @t222)) 15.77/15.98 (define @t224 () (not @t220)) 15.77/15.98 (define @t225 () (tptp.get tptp.int tptp.int @t190 @t118)) 15.77/15.98 (define @t226 () (= (tptp.get2 tptp.int @t137 @t117) @t225)) 15.77/15.98 (define @t227 () (not @t226)) 15.77/15.98 (define @t228 () (not @t209)) 15.77/15.98 (define @t229 () (not @t215)) 15.77/15.98 (define @t230 () (not @t191)) 15.77/15.98 (define @t231 () (not @t196)) 15.77/15.98 (define @t232 () (= @t117 @t131)) 15.77/15.98 (define @t233 () (not @t232)) 15.77/15.98 (define @t234 () (= @t149 @t121)) 15.77/15.98 (define @t235 () (+ @t149 @t122)) 15.77/15.98 (define @t236 () (= @t235 0)) 15.77/15.98 (define @t237 () (* -1 1)) 15.77/15.98 (define @t238 () (* -1 0)) 15.77/15.98 (define @t239 () (not @t236)) 15.77/15.98 (define @t240 () (and @t189 @t151 @t234)) 15.77/15.98 (define @t241 () (not @t134)) 15.77/15.98 (define @t242 () (not @t204)) 15.77/15.98 (define @t243 () (not (= @t133 0))) 15.77/15.98 (define @t244 () (and @t241 @t233)) 15.77/15.98 (define @t245 () (not @t130)) 15.77/15.98 (define @t246 () (tptp.get tptp.int tptp.int @t195 @t118)) 15.77/15.98 (define @t247 () (= @t117 @t142)) 15.77/15.98 (define @t248 () (>= @t117 0)) 15.77/15.98 (define @t249 () (not @t248)) 15.77/15.98 (define @t250 () (+ @t117 @t218)) 15.77/15.98 (define @t251 () (>= @t250 0)) 15.77/15.98 (define @t252 () (= @t225 @t246)) 15.77/15.98 (define @t253 () (or @t251 @t249 @t232 @t247 @t252)) 15.77/15.98 (define @t254 () (not @t177)) 15.77/15.98 (define @t255 () (+ @t117 @t153)) 15.77/15.98 (define @t256 () (>= @t255 0)) 15.77/15.98 (define @t257 () (not @t256)) 15.77/15.98 (define @t258 () (not @t247)) 15.77/15.98 (define @t259 () (not @t251)) 15.77/15.98 (define @t260 () (= @t136 @t213)) 15.77/15.98 (define @t261 () (+ @t136 @t218)) 15.77/15.98 (define @t262 () (and @t251 @t260 @t254 @t241 @t155)) 15.77/15.98 (define @t263 () (<= @t117 -1)) 15.77/15.98 (define @t264 () (not @t203)) 15.77/15.98 (define @t265 () (= @t121 @t200)) 15.77/15.98 (define @t266 () (+ @t121 @t201)) 15.77/15.98 (define @t267 () (and @t265 @t189 @t203)) 15.77/15.98 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.make1 @v.0.A @v.0.X @v.0.X1)))) 15.77/15.98 (assume @p2 (forall (@list @v.0.A @v.0.B @v.0.M @v.0.A1 @v.0.A2 @v.0.B1) (=> @t5 (=> @t4 (= @t3 @v.0.B1))))) 15.77/15.98 (assume @p3 (forall (@list @v.0.X) (tptp.sort1 tptp.int (tptp.t2tb @v.0.X)))) 15.77/15.98 (assume @p4 (forall (@list @v.0.A @v.0.M1 @v.0.M2 @v.0.L @v.0.U) (and (=> (forall @t7 (=> @t9 @t6)) @t8) (=> @t8 (forall @t7 @t6))))) 15.77/15.98 (assume @p5 (forall (@list @v.0.A @v.1.X @v.1.X1) (tptp.sort1 @v.0.A (tptp.get2 @v.0.A @v.1.X @v.1.X1)))) 15.77/15.98 (assume @p6 (forall @t10 (=> (tptp.sort1 @v.0.A @v.0.Z1) (= (tptp.match_bool1 @v.0.A tptp.false1 @v.0.Z @v.0.Z1) @v.0.Z1)))) 15.77/15.98 (assume @p7 (forall (@list @v.0.A @v.0.B @v.1.X @v.0.X1 @v.0.X2) (tptp.sort1 @t11 (tptp.set @v.0.B @v.0.A @v.1.X @v.0.X1 @v.0.X2)))) 15.77/15.98 (assume @p8 (forall (@list @v.2.X) (tptp.sort1 @t12 (tptp.t2tb1 @v.2.X)))) 15.77/15.98 (assume @p9 (forall (@list @v.3.X) (tptp.sort1 (tptp.array tptp.int) (tptp.t2tb2 @v.3.X)))) 15.77/15.98 (assume @p10 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.A3 @v.0.L @v.0.U) (=> @t13 (=> (tptp.permut2 @v.0.A @v.0.A2 @v.0.A3 @v.0.L @v.0.U) (tptp.permut2 @v.0.A @v.0.A1 @v.0.A3 @v.0.L @v.0.U))))) 15.77/15.98 (assume @p11 @t34) 15.77/15.98 (assume @p12 (forall @t36 (=> (tptp.sort1 @t35 @v.1.U) (= @v.1.U (tptp.mk_ref @v.0.A (tptp.contents @v.0.A @v.1.U)))))) 15.77/15.98 (assume @p13 (forall (@list @v.1.I) (= (tptp.tb2t2 (tptp.t2tb2 @v.1.I)) @v.1.I))) 15.77/15.98 (assume @p14 (forall @t42 (=> @t9 (=> @t41 (=> (not @t40) (= @t39 @t38)))))) 15.77/15.98 (assume @p15 @t56) 15.77/15.98 (assume @p16 (forall @t36 (= @v.1.U (tptp.mk_array1 @v.0.A (tptp.length1 @v.0.A @v.1.U) (tptp.elts @v.0.A @v.1.U))))) 15.77/15.98 (assume @p17 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.I @v.0.J @v.0.L @v.0.U) (=> @t62 (=> @t61 (=> @t60 (=> @t33 (=> @t59 @t57))))))) 15.77/15.98 (assume @p18 (forall @t64 (=> @t62 @t63))) 15.77/15.98 (assume @p19 (forall (@list @v.0.A @v.0.V @v.0.M1 @v.0.M2 @v.0.L @v.0.U) (=> (forall @t66 (=> @t65 (= (tptp.get @v.0.A tptp.int @v.0.M1 @t26) (tptp.get @v.0.A tptp.int @v.0.M2 @t26)))) @t6))) 15.77/15.98 (assume @p20 (forall @t42 (=> (<= @v.0.U @v.0.L) @t67))) 15.77/15.98 (assume @p21 (forall @t42 (=> @t41 (=> @t40 (= @t39 (+ 1 @t38)))))) 15.77/15.98 (assume @p22 (forall @t10 (=> (tptp.sort1 @v.0.A @v.0.Z) (= (tptp.match_bool1 @v.0.A tptp.true1 @v.0.Z @v.0.Z1) @v.0.Z)))) 15.77/15.98 (assume @p23 (forall @t42 (=> @t9 (=> (< 0 @t39) (exists @t66 (and @t54 @t69 @t44)))))) 15.77/15.98 (assume @p24 (forall (@list @v.0.A) (tptp.sort1 @v.0.A (tptp.witness1 @v.0.A)))) 15.77/15.98 (assume @p25 (forall @t70 (= (tptp.map_eq_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U) (forall @t66 (=> @t65 (= @t45 @t47)))))) 15.77/15.98 (assume @p26 (forall (@list @v.2.A @v.0.L @v.0.U) (= (tptp.sorted_sub2 @v.2.A @v.0.L @v.0.U) (forall (@list @v.0.I1 @v.0.I2) (=> (and (< @v.0.I2 @v.0.U) (<= @v.0.I1 @v.0.I2) (<= @v.0.L @v.0.I1)) (<= (tptp.tb2t (tptp.get tptp.int tptp.int @t71 (tptp.t2tb @v.0.I1))) (tptp.tb2t (tptp.get tptp.int tptp.int @t71 (tptp.t2tb @v.0.I2))))))))) 15.77/15.98 (assume @p27 (forall @t42 (=> (<= @v.0.L @v.0.U) (and (<= @t39 (- @v.0.U @v.0.L)) (<= 0 @t39))))) 15.77/15.98 (assume @p28 (forall @t2 (tptp.sort1 @t1 (tptp.mk_array1 @v.0.A @v.0.X @v.0.X1)))) 15.77/15.98 (assume @p29 (forall (@list @v.2.I) (= (tptp.tb2t1 (tptp.t2tb1 @v.2.I)) @v.2.I))) 15.77/15.98 (assume @p30 (forall @t36 (=> (tptp.sort1 @v.0.A @v.1.U) (= (tptp.contents @v.0.A (tptp.mk_ref @v.0.A @v.1.U)) @v.1.U)))) 15.77/15.98 (assume @p31 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L1 @v.0.U1 @v.0.L2 @v.0.U2) (=> (tptp.permut_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L1 @v.0.U1) (=> (and (<= @v.0.L2 @v.0.L1) (<= 0 @v.0.L2)) (=> (and (<= @v.0.U1 @v.0.U2) (<= @v.0.U2 @t58)) (tptp.permut_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L2 @v.0.U2)))))) 15.77/15.98 (assume @p32 (forall (@list @v.0.A @v.0.N @v.0.V) (= (tptp.make1 @v.0.A @v.0.N @v.0.V) (tptp.mk_array1 @v.0.A @v.0.N (tptp.const @v.0.A tptp.int @v.0.V))))) 15.77/15.98 (assume @p33 (forall (@list @v.0.A @v.4.X @v.0.X1 @v.0.X2) (tptp.sort1 @v.0.A (tptp.match_bool1 @v.0.A @v.4.X @v.0.X1 @v.0.X2)))) 15.77/15.98 (assume @p34 (forall (@list @v.3.A) (= (tptp.sorted1 @v.3.A) (tptp.sorted_sub2 @t73 0 (tptp.length1 tptp.int @t72))))) 15.77/15.98 (assume @p35 (forall (@list @v.0.A @v.0.M @v.0.L @v.0.U @v.0.I) (=> @t65 (< 0 (tptp.occ1 @v.0.A @t68 @v.0.M @v.0.L @v.0.U))))) 15.77/15.98 (assume @p36 (forall @t74 (= (tptp.t2tb2 (tptp.tb2t2 @v.1.J)) @v.1.J))) 15.77/15.98 (assume @p37 (forall (@list @v.0.A @v.0.A1 @v.0.I @v.0.V) (= (tptp.set2 @v.0.A @v.0.A1 @v.0.I @v.0.V) (tptp.mk_array1 @v.0.A @t58 (tptp.set @v.0.A tptp.int @t75 @t26 @v.0.V))))) 15.77/15.98 (assume @p38 (forall @t76 (tptp.sort1 @v.0.A (tptp.contents @v.0.A @v.1.X)))) 15.77/15.98 (assume @p39 (forall (@list @v.0.A @v.0.A1 @v.0.L @v.0.U @v.0.I @v.0.J) (=> @t61 (=> @t60 (tptp.exchange2 @v.0.A @v.0.A1 (tptp.set @v.0.A tptp.int (tptp.set @v.0.A tptp.int @v.0.A1 @t26 @t48) @t16 @t45) @v.0.L @v.0.U @v.0.I @v.0.J))))) 15.77/15.98 (assume @p40 (forall @t76 (tptp.sort1 @t35 (tptp.mk_ref @v.0.A @v.1.X)))) 15.77/15.98 (assume @p41 @t80) 15.77/15.98 (assume @p42 (forall @t70 (= (and @t77 @t33 @t83 (tptp.permut2 @v.0.A @t75 @t78 @v.0.L @v.0.U) @t59 @t82) @t81))) 15.77/15.98 (assume @p43 (forall (@list @v.2.A1 @v.2.A2 @v.0.L @v.0.Ml @v.0.Mr @v.0.R @v.1.V) (= (and (forall @t19 (=> (and @t30 @t31) (< @v.1.V @t85))) (forall @t19 (=> (and (< @v.0.J @v.0.Mr) @t32) (= @t85 @v.1.V))) (forall @t19 (=> (and @t18 @t28) (< @t85 @v.1.V))) (tptp.permut_sub1 tptp.int (tptp.t2tb2 @v.2.A1) @t84 @v.0.L @v.0.R)) (tptp.qs_partition2 @v.2.A1 @v.2.A2 @v.0.L @v.0.Ml @v.0.Mr @v.0.R @v.1.V)))) 15.77/15.98 (assume @p44 (forall @t86 (= (tptp.array_eq @v.0.A @v.0.A1 @v.0.A2) (and @t77 (tptp.map_eq_sub1 @v.0.A @t75 @t78 0 @t58))))) 15.77/15.98 (assume @p45 (forall @t74 (= (tptp.t2tb1 (tptp.tb2t1 @v.1.J)) @v.1.J))) 15.77/15.98 (assume @p46 (forall @t76 (tptp.sort1 @t87 (tptp.elts @v.0.A @v.1.X)))) 15.77/15.98 (assume @p47 @t91) 15.77/15.98 (assume @p48 (forall @t66 (= (tptp.tb2t @t26) @v.0.I))) 15.77/15.98 (assume @p49 (forall @t70 (= (and (tptp.map_eq_sub1 @v.0.A @t75 @t78 @v.0.U @t58) @t81 (tptp.map_eq_sub1 @v.0.A @t75 @t78 0 @v.0.L)) @t57))) 15.77/15.98 (assume @p50 (forall (@list @v.0.A @v.0.B @v.1.X) (tptp.sort1 @t11 (tptp.const @v.0.B @v.0.A @v.1.X)))) 15.77/15.98 (assume @p51 (forall @t70 (= (and @t33 @t59 (tptp.map_eq_sub1 @v.0.A @t75 @t78 @v.0.L @v.0.U) @t82 @t83 @t77) (tptp.array_eq_sub1 @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U)))) 15.77/15.98 (assume @p52 (forall @t74 (= (tptp.t2tb (tptp.tb2t @v.1.J)) @v.1.J))) 15.77/15.98 (assume @p53 @t94) 15.77/15.98 (assume @p54 (forall @t42 (=> @t9 (=> (forall @t66 (=> @t61 (not @t69))) @t67)))) 15.77/15.98 (assume @p55 (forall (@list @v.0.A @v.0.B @v.1.X @v.0.X1) (tptp.sort1 @v.0.B (tptp.get @v.0.B @v.0.A @v.1.X @v.0.X1)))) 15.77/15.98 (assume @p56 (forall (@list @v.3.A @v.0.L @v.0.U) (= (tptp.sorted_sub3 @v.3.A @v.0.L @v.0.U) (tptp.sorted_sub2 @t73 @v.0.L @v.0.U)))) 15.77/15.98 (assume @p57 (not (= tptp.true1 tptp.false1))) 15.77/15.98 (assume @p58 (forall @t86 (= (and @t77 (tptp.permut2 @v.0.A @t75 @t78 0 @t58)) @t63))) 15.77/15.98 (assume @p59 (forall (@list @v.0.A @v.0.A1 @v.0.A2 @v.0.L @v.0.U @v.0.I) (=> @t13 (=> @t65 (exists @t19 (and @t49 @t53 @t18)))))) 15.77/15.98 (assume @p60 (forall (@list @v.2.U) (= @v.2.U tptp.tuple03))) 15.77/15.98 (assume @p61 (forall (@list @v.3.U) (or (= @v.3.U tptp.false1) (= @v.3.U tptp.true1)))) 15.77/15.98 (assume @p62 (forall (@list @v.0.A @v.0.V @v.0.M @v.0.L @v.0.Mid @v.0.U) (=> (and (<= @v.0.L @v.0.Mid) (<= @v.0.Mid @v.0.U)) (= @t39 (+ (tptp.occ1 @v.0.A @v.0.V @v.0.M @v.0.L @v.0.Mid) (tptp.occ1 @v.0.A @v.0.V @v.0.M @v.0.Mid @v.0.U)))))) 15.77/15.98 (assume @p63 (forall (@list @v.0.A @v.1.X @v.1.X1 @v.0.X2) (tptp.sort1 @t1 (tptp.set2 @v.0.A @v.1.X @v.1.X1 @v.0.X2)))) 15.77/15.98 (assume @p64 (forall (@list @v.0.A @v.0.B @v.0.M @v.0.A1 @v.0.A2) (=> (tptp.sort1 @v.0.A @v.0.A1) (=> (tptp.sort1 @v.0.A @v.0.A2) (forall (@list @v.0.B1) (=> (not @t4) (= @t3 (tptp.get @v.0.B @v.0.A @v.0.M @v.0.A2)))))))) 15.77/15.98 (assume @p65 (forall (@list @v.0.X @v.0.Y @v.1.Z) (=> (<= @v.0.X @v.0.Y) (=> (<= 0 @v.1.Z) (<= (* @v.0.X @v.1.Z) (* @v.0.Y @v.1.Z)))))) 15.77/15.98 (assume @p66 (forall (@list @v.0.A @v.0.B @v.0.B1 @v.0.A1) (=> @t5 (= (tptp.get @v.0.B @v.0.A (tptp.const @v.0.B @v.0.A @v.0.B1) @v.0.A1) @v.0.B1)))) 15.77/15.98 (assume @p67 @t95) 15.77/15.98 (assume @p68 true) 15.77/15.98 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 15.77/15.98 ; trust MACRO_SR_EQ_INTRO 15.77/15.98 (step @p69 :rule trust :premises () :args ((= @t34 @t115))) 15.77/15.98 (step @p70 :rule eq_resolve :premises (@p11 @p69)) 15.77/15.98 (step @p71 :rule refl :args (@t186)) 15.77/15.98 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 15.77/15.98 ; trust MACRO_SR_PRED_INTRO 15.77/15.98 (step @p72 :rule trust :premises () :args ((= (not @t115) @t114))) 15.77/15.98 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (or)) 15.77/15.98 ; WARNING: add trust step for MACRO_REWRITE 15.77/15.98 ; trust MACRO_REWRITE 15.77/15.98 (step @p74 :rule trust :premises () :args ((= (=> @t115 @t188) (=> @t115 @t186)))) 15.77/15.98 (assume-push @p75 @t115) 15.77/15.98 (step @p76 :rule skolemize :premises (@p70)) 15.77/15.98 (step-pop @p454 :rule scope :premises (@p76)) 15.77/15.98 (step @p77 :rule process_scope :premises (@p454) :args (@t188)) 15.77/15.98 (step @p79 :rule eq_resolve :premises (@p77 @p74)) 15.77/15.98 (step @p80 :rule implies_elim :premises (@p79)) 15.77/15.99 (step @p81 :rule eq_resolve :premises (@p80 @p73)) 15.77/15.99 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p82 :rule trust :premises (@p81 @p70) :args (@t186)) 15.77/15.99 (step @p83 :rule cnf_or_neg :args (@t185 24)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p84 :rule trust :premises (@p83 @p82) :args (@t189)) 15.77/15.99 ; trust MACRO_SR_EQ_INTRO 15.77/15.99 (step @p85 :rule trust :premises () :args ((= @t94 (forall @t90 (or (not @t93) (= @v.1.U1 @t92)))))) 15.77/15.99 (step @p86 :rule eq_resolve :premises (@p53 @p85)) 15.77/15.99 (step @p87 :rule instantiate :premises (@p86) :args ((@list tptp.int @t136 @t120))) 15.77/15.99 (step @p88 :rule instantiate :premises (@p8) :args ((@list @t119))) 15.77/15.99 (step @p89 :rule cnf_or_pos :args (@t193)) 15.77/15.99 (step @p90 :rule reordering :premises (@p89) :args ((or @t192 @t191 (not @t193)))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p91 :rule trust :premises (@p90 @p88 @p87) :args (@t191)) 15.77/15.99 (step @p92 :rule instantiate :premises (@p86) :args (@t194)) 15.77/15.99 (step @p93 :rule instantiate :premises (@p8) :args ((@list @t138))) 15.77/15.99 (step @p94 :rule cnf_or_pos :args (@t198)) 15.77/15.99 (step @p95 :rule reordering :premises (@p94) :args ((or @t197 @t196 (not @t198)))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p96 :rule trust :premises (@p95 @p93 @p92) :args (@t196)) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p97 :rule trust :premises () :args ((= (not @t170) @t169))) 15.77/15.99 (step @p98 :rule refl :args (@t185)) 15.77/15.99 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (or)) 15.77/15.99 (step @p100 :rule cnf_or_neg :args (@t185 10)) 15.77/15.99 (step @p101 :rule eq_resolve :premises (@p100 @p99)) 15.77/15.99 (step @p102 :rule reordering :premises (@p101) :args ((or @t169 @t185))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p103 :rule trust :premises (@p102 @p82) :args (@t169)) 15.77/15.99 (assume-push @p104 @t169) 15.77/15.99 (step @p105 :rule instantiate :premises (@p103) :args (@t199)) 15.77/15.99 (step-pop @p455 :rule scope :premises (@p105)) 15.77/15.99 (step @p106 :rule process_scope :premises (@p455) :args ((or @t204 (not (>= (+ @t117 @t167) 0)) @t203))) 15.77/15.99 ; WARNING: add trust step for MACRO_SR_PRED_ELIM 15.77/15.99 ; trust MACRO_SR_PRED_ELIM 15.77/15.99 (step @p108 :rule trust :premises (@p106) :args ((=> @t169 @t205))) 15.77/15.99 (step @p109 :rule implies_elim :premises (@p108)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p110 :rule trust :premises (@p109 @p103) :args (@t205)) 15.77/15.99 (step @p111 :rule instantiate :premises (@p67) :args ((@list tptp.int @t137 @t117))) 15.77/15.99 (assume-push @p112 @t95) 15.77/15.99 (step @p113 :rule instantiate :premises (@p67) :args ((@list tptp.int @t137 @t131))) 15.77/15.99 (step-pop @p456 :rule scope :premises (@p113)) 15.77/15.99 (step @p114 :rule process_scope :premises (@p456) :args ((= @t208 @t207))) 15.77/15.99 ; trust MACRO_SR_PRED_ELIM 15.77/15.99 (step @p116 :rule trust :premises (@p114) :args ((=> @t95 @t209))) 15.77/15.99 (step @p117 :rule implies_elim :premises (@p116)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p118 :rule trust :premises (@p117 @p67) :args (@t209)) 15.77/15.99 ; trust MACRO_SR_EQ_INTRO 15.77/15.99 (step @p119 :rule trust :premises () :args ((= @t56 @t212))) 15.77/15.99 (step @p120 :rule eq_resolve :premises (@p15 @p119)) 15.77/15.99 (assume-push @p121 @t212) 15.77/15.99 (step @p122 :rule instantiate :premises (@p120) :args ((@list tptp.int @t195 @t190 0 @t213 @t131 @t142))) 15.77/15.99 (step-pop @p457 :rule scope :premises (@p122)) 15.77/15.99 (step @p123 :rule process_scope :premises (@p457) :args ((= @t217 (and (>= (+ @t213 @t132) 1) (>= (+ @t213 @t153) 1) (forall @t52 (or (not (>= (+ @t213 @t211) 1)) (>= (+ 0 @t211) 1) (= @t131 @v.0.K) (= @t142 @v.0.K) @t216)) @t215 @t214 (not (>= (+ 0 @t153) 1)) (not (>= (+ 0 @t132) 1)))))) 15.77/15.99 ; trust MACRO_SR_PRED_ELIM 15.77/15.99 (step @p125 :rule trust :premises (@p123) :args ((=> @t212 @t221))) 15.77/15.99 (step @p126 :rule implies_elim :premises (@p125)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p127 :rule trust :premises (@p126 @p120) :args (@t221)) 15.77/15.99 ; trust MACRO_SR_EQ_INTRO 15.77/15.99 (step @p128 :rule trust :premises () :args ((= @t80 (forall @t64 (= @t62 @t79))))) 15.77/15.99 (step @p129 :rule eq_resolve :premises (@p41 @p128)) 15.77/15.99 (step @p130 :rule instantiate :premises (@p129) :args ((@list tptp.int @t140 @t137 @t131 @t142))) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p131 :rule trust :premises () :args ((= (not @t144) @t143))) 15.77/15.99 (step @p132 :rule nary_cong :premises (@p98 @p131) :args (or)) 15.77/15.99 (step @p133 :rule cnf_or_neg :args (@t185 20)) 15.77/15.99 (step @p134 :rule eq_resolve :premises (@p133 @p132)) 15.77/15.99 (step @p135 :rule reordering :premises (@p134) :args ((or @t143 @t185))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p136 :rule trust :premises (@p135 @p82) :args (@t143)) 15.77/15.99 (step @p137 :rule cnf_equiv_pos1 :args (@t223)) 15.77/15.99 (step @p138 :rule reordering :premises (@p137) :args ((or @t144 @t222 (not @t223)))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p139 :rule trust :premises (@p138 @p136 @p130) :args (@t222)) 15.77/15.99 (step @p140 :rule cnf_and_pos :args (@t222 0)) 15.77/15.99 (step @p141 :rule reordering :premises (@p140) :args ((or @t217 (not @t222)))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p142 :rule trust :premises (@p141 @p139) :args (@t217)) 15.77/15.99 (step @p143 :rule cnf_equiv_pos1 :args (@t221)) 15.77/15.99 (step @p144 :rule reordering :premises (@p143) :args ((or (not @t217) @t220 (not @t221)))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p145 :rule trust :premises (@p144 @p142 @p127) :args (@t220)) 15.77/15.99 (step @p146 :rule cnf_and_pos :args (@t220 3)) 15.77/15.99 (step @p147 :rule reordering :premises (@p146) :args ((or @t215 @t224))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p148 :rule trust :premises (@p147 @p145) :args (@t215)) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p149 :rule trust :premises () :args ((= (not @t152) @t151))) 15.77/15.99 (step @p150 :rule nary_cong :premises (@p98 @p149) :args (or)) 15.77/15.99 (step @p151 :rule cnf_or_neg :args (@t185 17)) 15.77/15.99 (step @p152 :rule eq_resolve :premises (@p151 @p150)) 15.77/15.99 (step @p153 :rule reordering :premises (@p152) :args ((or @t151 @t185))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p154 :rule trust :premises (@p153 @p82) :args (@t151)) 15.77/15.99 (step @p155 :rule refl :args (@t227)) 15.77/15.99 (step @p156 :rule refl :args (@t228)) 15.77/15.99 (step @p157 :rule refl :args (@t229)) 15.77/15.99 (step @p158 :rule refl :args (@t230)) 15.77/15.99 (step @p159 :rule refl :args (@t231)) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p160 :rule trust :premises () :args ((= (not @t189) @t127))) 15.77/15.99 (step @p161 :rule refl :args (@t233)) 15.77/15.99 (step @p162 :rule refl :args (@t152)) 15.77/15.99 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155) :args (or)) 15.77/15.99 (assume-push @p164 @t189) 15.77/15.99 (assume-push @p165 @t151) 15.77/15.99 (assume-push @p166 @t234) 15.77/15.99 (assume-push @p167 @t236) 15.77/15.99 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p168 :rule trust :premises (@p84) :args ((< @t126 1))) 15.77/15.99 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 15.77/15.99 ; trust MACRO_ARITH_SCALE_SUM_UB 15.77/15.99 (step @p169 :rule trust :premises (@p167 @p154 @p168) :args ((< (+ (* -1 @t235) (* -1 @t150) @t126) (+ @t238 @t237 1)))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p170 false :rule trust :premises (@p169) :args (false)) 15.77/15.99 (step-pop @p458 :rule scope :premises (@p170)) 15.77/15.99 (step @p171 :rule process_scope :premises (@p458) :args (false)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p173 :rule trust :premises (@p171) :args (@t239)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p174 :rule trust :premises (@p173) :args (@t239)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p175 :rule trust :premises (@p166) :args (@t236)) 15.77/15.99 (step @p176 false :rule contra :premises (@p175 @p174)) 15.77/15.99 (step-pop @p459 :rule scope :premises (@p176)) 15.77/15.99 (step-pop @p460 :rule scope :premises (@p459)) 15.77/15.99 (step-pop @p461 :rule scope :premises (@p460)) 15.77/15.99 (step @p177 :rule process_scope :premises (@p461) :args (false)) 15.77/15.99 (assume-push @p181 @t151) 15.77/15.99 (assume-push @p182 @t232) 15.77/15.99 (assume-push @p183 @t189) 15.77/15.99 (assume-push @p184 @t196) 15.77/15.99 (assume-push @p185 @t191) 15.77/15.99 (assume-push @p186 @t215) 15.77/15.99 (assume-push @p187 @t209) 15.77/15.99 (assume-push @p188 @t226) 15.77/15.99 (assume-push @p189 @t191) 15.77/15.99 (assume-push @p190 @t226) 15.77/15.99 (assume-push @p191 @t232) 15.77/15.99 (assume-push @p192 @t209) 15.77/15.99 (assume-push @p193 @t215) 15.77/15.99 (assume-push @p194 @t196) 15.77/15.99 (step @p195 :rule refl :args (@t118)) 15.77/15.99 (step @p196 :rule symm :premises (@p91)) 15.77/15.99 (step @p197 :rule refl :args (tptp.int)) 15.77/15.99 (step @p198 :rule cong :premises (@p197 @p197 @p196 @p195) :args (tptp.get)) 15.77/15.99 (step @p199 :rule symm :premises (@p182)) 15.77/15.99 (step @p200 :rule refl :args (@t137)) 15.77/15.99 (step @p201 :rule cong :premises (@p197 @p200 @p199) :args (tptp.get2)) 15.77/15.99 (step @p202 :rule refl :args (@t148)) 15.77/15.99 (step @p203 :rule cong :premises (@p197 @p197 @p96 @p202) :args (tptp.get)) 15.77/15.99 (step @p204 :rule trans :premises (@p203 @p148 @p118 @p201 @p111 @p198)) 15.77/15.99 (step @p205 :rule cong :premises (@p204) :args (tptp.tb2t)) 15.77/15.99 (step-pop @p462 :rule scope :premises (@p205)) 15.77/15.99 (step-pop @p463 :rule scope :premises (@p462)) 15.77/15.99 (step-pop @p464 :rule scope :premises (@p463)) 15.77/15.99 (step-pop @p465 :rule scope :premises (@p464)) 15.77/15.99 (step-pop @p466 :rule scope :premises (@p465)) 15.77/15.99 (step-pop @p467 :rule scope :premises (@p466)) 15.77/15.99 (step @p206 :rule process_scope :premises (@p467) :args (@t234)) 15.77/15.99 (step @p213 :rule and_intro :premises (@p91 @p111 @p182 @p118 @p148 @p96)) 15.77/15.99 (step @p214 :rule modus_ponens :premises (@p213 @p206)) 15.77/15.99 (step @p215 :rule and_intro :premises (@p84 @p154 @p214)) 15.77/15.99 (step-pop @p468 :rule scope :premises (@p215)) 15.77/15.99 (step-pop @p469 :rule scope :premises (@p468)) 15.77/15.99 (step-pop @p470 :rule scope :premises (@p469)) 15.77/15.99 (step-pop @p471 :rule scope :premises (@p470)) 15.77/15.99 (step-pop @p472 :rule scope :premises (@p471)) 15.77/15.99 (step-pop @p473 :rule scope :premises (@p472)) 15.77/15.99 (step-pop @p474 :rule scope :premises (@p473)) 15.77/15.99 (step-pop @p475 :rule scope :premises (@p474)) 15.77/15.99 (step @p216 :rule process_scope :premises (@p475) :args (@t240)) 15.77/15.99 (step @p225 :rule implies_elim :premises (@p216)) 15.77/15.99 (step @p226 :rule resolution :premises (@p225 @p177) :args (true @t240)) 15.77/15.99 (step @p227 :rule not_and :premises (@p226)) 15.77/15.99 (step @p228 :rule eq_resolve :premises (@p227 @p163)) 15.77/15.99 (step @p229 :rule reordering :premises (@p228) :args ((or @t152 @t127 @t231 @t230 @t229 @t228 @t233 @t227))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p230 :rule trust :premises (@p229 @p154 @p84 @p96 @p91 @p148 @p118 @p111) :args (@t233)) 15.77/15.99 (step @p231 :rule cnf_or_neg :args (@t185 22)) 15.77/15.99 (step @p232 :rule reordering :premises (@p231) :args ((or @t241 @t185))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p233 :rule trust :premises (@p232 @p82) :args (@t241)) 15.77/15.99 (step @p234 :rule refl :args (@t242)) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p235 :rule trust :premises () :args ((= (not @t233) @t232))) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p236 :rule trust :premises () :args ((= (not @t241) @t134))) 15.77/15.99 (step @p237 :rule nary_cong :premises (@p236 @p235 @p234) :args (or)) 15.77/15.99 (assume-push @p238 @t241) 15.77/15.99 (assume-push @p239 @t233) 15.77/15.99 (assume-push @p240 @t241) 15.77/15.99 (assume-push @p241 @t233) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p242 :rule trust :premises (@p239) :args (@t243)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p243 :rule trust :premises (@p233) :args ((< @t133 1))) 15.77/15.99 (step @p244 :rule int_tight_ub :premises (@p243)) 15.77/15.99 (step @p245 :rule arith_trichotomy :premises (@p244 @p242)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p246 :rule trust :premises (@p245) :args (@t242)) 15.77/15.99 (step-pop @p476 :rule scope :premises (@p246)) 15.77/15.99 (step-pop @p477 :rule scope :premises (@p476)) 15.77/15.99 (step @p247 :rule process_scope :premises (@p477) :args (@t242)) 15.77/15.99 (step @p250 :rule and_intro :premises (@p233 @p239)) 15.77/15.99 (step @p251 :rule modus_ponens :premises (@p250 @p247)) 15.77/15.99 (step-pop @p478 :rule scope :premises (@p251)) 15.77/15.99 (step-pop @p479 :rule scope :premises (@p478)) 15.77/15.99 (step @p252 :rule process_scope :premises (@p479) :args (@t242)) 15.77/15.99 (step @p255 :rule implies_elim :premises (@p252)) 15.77/15.99 (step @p256 :rule cnf_and_neg :args (@t244)) 15.77/15.99 (step @p257 :rule resolution :premises (@p256 @p255) :args (true @t244)) 15.77/15.99 (step @p258 :rule eq_resolve :premises (@p257 @p237)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p259 :rule trust :premises (@p258 @p233 @p230) :args (@t242)) 15.77/15.99 (step @p260 :rule cnf_or_neg :args (@t185 23)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p261 :rule trust :premises (@p260 @p82) :args (@t245)) 15.77/15.99 (step @p262 :rule cnf_or_pos :args (@t205)) 15.77/15.99 (step @p263 :rule reordering :premises (@p262) :args ((or @t130 @t204 @t203 (not @t205)))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p264 :rule trust :premises (@p263 @p261 @p259 @p110) :args (@t203)) 15.77/15.99 (step @p265 :rule cnf_and_pos :args (@t220 2)) 15.77/15.99 (step @p266 :rule reordering :premises (@p265) :args ((or @t219 @t224))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p267 :rule trust :premises (@p266 @p145) :args (@t219)) 15.77/15.99 (assume-push @p268 @t219) 15.77/15.99 (step @p269 :rule instantiate :premises (@p267) :args (@t199)) 15.77/15.99 (step-pop @p480 :rule scope :premises (@p269)) 15.77/15.99 (step @p270 :rule process_scope :premises (@p480) :args ((or @t251 @t249 @t232 @t247 (= @t246 @t225)))) 15.77/15.99 ; trust MACRO_SR_PRED_ELIM 15.77/15.99 (step @p272 :rule trust :premises (@p270) :args ((=> @t219 @t253))) 15.77/15.99 (step @p273 :rule implies_elim :premises (@p272)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p274 :rule trust :premises (@p273 @p267) :args (@t253)) 15.77/15.99 (step @p275 :rule cnf_or_neg :args (@t185 6)) 15.77/15.99 (step @p276 :rule reordering :premises (@p275) :args ((or @t254 @t185))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p277 :rule trust :premises (@p276 @p82) :args (@t254)) 15.77/15.99 (assume-push @p278 @t254) 15.77/15.99 (assume-push @p279 @t241) 15.77/15.99 (assume-push @p280 @t233) 15.77/15.99 (assume-push @p281 @t256) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p282 :rule trust :premises (@p239) :args (@t243)) 15.77/15.99 (step @p283 :rule arith_trichotomy :premises (@p244 @p282)) 15.77/15.99 (step @p284 :rule int_tight_ub :premises (@p283)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p285 :rule trust :premises (@p277) :args ((< @t176 0))) 15.77/15.99 (step @p286 :rule int_tight_ub :premises (@p285)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p287 :rule trust :premises (@p281) :args (@t256)) 15.77/15.99 ; trust MACRO_ARITH_SCALE_SUM_UB 15.77/15.99 (step @p288 :rule trust :premises (@p287 @p286 @p284) :args ((<= (+ (* -1 @t255) @t176 @t133) (+ @t238 -1 -1)))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p289 false :rule trust :premises (@p288) :args (false)) 15.77/15.99 (step-pop @p481 :rule scope :premises (@p289)) 15.77/15.99 (step-pop @p482 :rule scope :premises (@p481)) 15.77/15.99 (step-pop @p483 :rule scope :premises (@p482)) 15.77/15.99 (step-pop @p484 :rule scope :premises (@p483)) 15.77/15.99 (step @p290 :rule process_scope :premises (@p484) :args (false)) 15.77/15.99 (step @p295 :rule not_and :premises (@p290)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p296 :rule trust :premises (@p295) :args ((or @t177 @t134 @t232 @t257))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p297 :rule trust :premises (@p296 @p277 @p233 @p230) :args (@t257)) 15.77/15.99 (step @p298 :rule refl :args (@t258)) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p299 :rule trust :premises () :args ((= (not @t257) @t256))) 15.77/15.99 (step @p300 :rule nary_cong :premises (@p299 @p298) :args (or)) 15.77/15.99 (assume-push @p301 @t257) 15.77/15.99 (assume-push @p302 @t257) 15.77/15.99 (assume-push @p303 @t247) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p304 :rule trust :premises (@p301) :args ((< @t255 0))) 15.77/15.99 (step @p305 :rule int_tight_ub :premises (@p304)) 15.77/15.99 ; trust MACRO_ARITH_SCALE_SUM_UB 15.77/15.99 (step @p306 :rule trust :premises (@p303 @p305) :args ((<= (+ @t128 @t255) (+ @t153 -1)))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p307 false :rule trust :premises (@p306) :args (false)) 15.77/15.99 (step-pop @p485 :rule scope :premises (@p307)) 15.77/15.99 (step @p308 :rule process_scope :premises (@p485) :args (false)) 15.77/15.99 (step-pop @p486 :rule scope :premises (@p308)) 15.77/15.99 (step @p310 :rule process_scope :premises (@p486) :args (@t258)) 15.77/15.99 (step @p312 :rule modus_ponens :premises (@p301 @p310)) 15.77/15.99 (step-pop @p487 :rule scope :premises (@p312)) 15.77/15.99 (step @p313 :rule process_scope :premises (@p487) :args (@t258)) 15.77/15.99 (step @p315 :rule implies_elim :premises (@p313)) 15.77/15.99 (step @p316 :rule eq_resolve :premises (@p315 @p300)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p317 :rule trust :premises (@p316 @p297) :args (@t258)) 15.77/15.99 ; trust MACRO_SR_EQ_INTRO 15.77/15.99 (step @p318 :rule trust :premises () :args ((= @t91 (forall @t90 (= @v.0.U @t89))))) 15.77/15.99 (step @p319 :rule eq_resolve :premises (@p47 @p318)) 15.77/15.99 (step @p320 :rule instantiate :premises (@p319) :args (@t194)) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p321 :rule trust :premises () :args ((= (not @t156) @t155))) 15.77/15.99 (step @p322 :rule nary_cong :premises (@p98 @p321) :args (or)) 15.77/15.99 (step @p323 :rule cnf_or_neg :args (@t185 16)) 15.77/15.99 (step @p324 :rule eq_resolve :premises (@p323 @p322)) 15.77/15.99 (step @p325 :rule reordering :premises (@p324) :args ((or @t155 @t185))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p326 :rule trust :premises (@p325 @p82) :args (@t155)) 15.77/15.99 (step @p327 :rule refl :args (@t259)) 15.77/15.99 (step @p328 :rule refl :args ((not @t260))) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p329 :rule trust :premises () :args ((= (not @t254) @t177))) 15.77/15.99 (step @p330 :rule refl :args (@t156)) 15.77/15.99 (step @p331 :rule nary_cong :premises (@p330 @p329 @p236 @p328 @p327) :args (or)) 15.77/15.99 (assume-push @p332 @t251) 15.77/15.99 (assume-push @p333 @t260) 15.77/15.99 (assume-push @p334 @t254) 15.77/15.99 (assume-push @p335 @t241) 15.77/15.99 (assume-push @p336 @t155) 15.77/15.99 (assume-push @p337 @t155) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p338 :rule trust :premises (@p320) :args ((= @t261 0))) 15.77/15.99 ; trust MACRO_ARITH_SCALE_SUM_UB 15.77/15.99 (step @p339 :rule trust :premises (@p326 @p243 @p285 @p338 @p332) :args ((< (+ (* -1 @t154) @t133 @t176 @t261 (* -1 @t250)) (+ @t237 1 0 0 @t238)))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p340 false :rule trust :premises (@p339) :args (false)) 15.77/15.99 (step-pop @p488 :rule scope :premises (@p340)) 15.77/15.99 (step @p341 :rule process_scope :premises (@p488) :args (false)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p343 :rule trust :premises (@p341) :args ((< @t154 1))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p344 :rule trust :premises (@p343) :args (@t156)) 15.77/15.99 (step @p345 false :rule contra :premises (@p326 @p344)) 15.77/15.99 (step-pop @p489 :rule scope :premises (@p345)) 15.77/15.99 (step-pop @p490 :rule scope :premises (@p489)) 15.77/15.99 (step-pop @p491 :rule scope :premises (@p490)) 15.77/15.99 (step-pop @p492 :rule scope :premises (@p491)) 15.77/15.99 (step-pop @p493 :rule scope :premises (@p492)) 15.77/15.99 (step @p346 :rule process_scope :premises (@p493) :args (false)) 15.77/15.99 (assume-push @p352 @t155) 15.77/15.99 (assume-push @p353 @t254) 15.77/15.99 (assume-push @p354 @t241) 15.77/15.99 (assume-push @p355 @t260) 15.77/15.99 (assume-push @p356 @t251) 15.77/15.99 (step @p357 :rule and_intro :premises (@p332 @p320 @p277 @p233 @p326)) 15.77/15.99 (step-pop @p494 :rule scope :premises (@p357)) 15.77/15.99 (step-pop @p495 :rule scope :premises (@p494)) 15.77/15.99 (step-pop @p496 :rule scope :premises (@p495)) 15.77/15.99 (step-pop @p497 :rule scope :premises (@p496)) 15.77/15.99 (step-pop @p498 :rule scope :premises (@p497)) 15.77/15.99 (step @p358 :rule process_scope :premises (@p498) :args (@t262)) 15.77/15.99 (step @p364 :rule implies_elim :premises (@p358)) 15.77/15.99 (step @p365 :rule resolution :premises (@p364 @p346) :args (true @t262)) 15.77/15.99 (step @p366 :rule not_and :premises (@p365)) 15.77/15.99 (step @p367 :rule eq_resolve :premises (@p366 @p331)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p368 :rule trust :premises (@p367 @p326 @p277 @p233 @p320) :args (@t259)) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p369 :rule trust :premises () :args ((= (not @t182) @t181))) 15.77/15.99 (step @p370 :rule nary_cong :premises (@p98 @p369) :args (or)) 15.77/15.99 (step @p371 :rule cnf_or_neg :args (@t185 2)) 15.77/15.99 (step @p372 :rule eq_resolve :premises (@p371 @p370)) 15.77/15.99 (step @p373 :rule reordering :premises (@p372) :args ((or @t181 @t185))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p374 :rule trust :premises (@p373 @p82) :args (@t181)) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p375 :rule trust :premises () :args ((= (not @t249) @t248))) 15.77/15.99 ; trust MACRO_SR_PRED_INTRO 15.77/15.99 (step @p376 :rule trust :premises () :args ((= (not @t245) @t130))) 15.77/15.99 (step @p377 :rule refl :args (@t182)) 15.77/15.99 (step @p378 :rule nary_cong :premises (@p377 @p376 @p375) :args (or)) 15.77/15.99 (assume-push @p379 @t181) 15.77/15.99 (assume-push @p380 @t245) 15.77/15.99 (assume-push @p381 @t249) 15.77/15.99 (assume-push @p382 @t263) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p383 :rule trust :premises (@p261) :args ((< @t129 1))) 15.77/15.99 ; trust MACRO_ARITH_SCALE_SUM_UB 15.77/15.99 (step @p384 :rule trust :premises (@p382 @p383 @p374) :args ((< (+ @t117 @t129 @t167) (+ -1 1 @t238)))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p385 false :rule trust :premises (@p384) :args (false)) 15.77/15.99 (step-pop @p499 :rule scope :premises (@p385)) 15.77/15.99 (step @p386 :rule process_scope :premises (@p499) :args (false)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p388 :rule trust :premises (@p386) :args ((> @t117 -1))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p389 :rule trust :premises (@p388) :args ((not @t263))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p390 :rule trust :premises (@p381) :args ((< @t117 0))) 15.77/15.99 (step @p391 :rule int_tight_ub :premises (@p390)) 15.77/15.99 (step @p392 false :rule contra :premises (@p391 @p389)) 15.77/15.99 (step-pop @p500 :rule scope :premises (@p392)) 15.77/15.99 (step-pop @p501 :rule scope :premises (@p500)) 15.77/15.99 (step-pop @p502 :rule scope :premises (@p501)) 15.77/15.99 (step @p393 :rule process_scope :premises (@p502) :args (false)) 15.77/15.99 (step @p397 :rule not_and :premises (@p393)) 15.77/15.99 (step @p398 :rule eq_resolve :premises (@p397 @p378)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p399 :rule trust :premises (@p398 @p374 @p261) :args (@t248)) 15.77/15.99 (step @p400 :rule cnf_or_pos :args (@t253)) 15.77/15.99 (step @p401 :rule reordering :premises (@p400) :args ((or @t232 @t249 @t252 @t251 @t247 (not @t253)))) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p402 :rule trust :premises (@p401 @p230 @p399 @p368 @p317 @p274) :args (@t252)) 15.77/15.99 (step @p403 :rule refl :args ((not @t252))) 15.77/15.99 (step @p404 :rule refl :args (@t264)) 15.77/15.99 (step @p405 :rule nary_cong :premises (@p160 @p159 @p158 @p404 @p403) :args (or)) 15.77/15.99 (assume-push @p406 @t265) 15.77/15.99 (assume-push @p407 @t189) 15.77/15.99 (assume-push @p408 @t203) 15.77/15.99 (assume-push @p409 @t203) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p410 :rule trust :premises (@p406) :args ((= @t266 0))) 15.77/15.99 ; trust MACRO_ARITH_SCALE_SUM_UB 15.77/15.99 (step @p411 :rule trust :premises (@p408 @p168 @p410) :args ((< (+ (* -1 @t202) @t126 @t266) (+ @t237 1 0)))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p412 false :rule trust :premises (@p411) :args (false)) 15.77/15.99 (step-pop @p503 :rule scope :premises (@p412)) 15.77/15.99 (step @p413 :rule process_scope :premises (@p503) :args (false)) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p415 :rule trust :premises (@p413) :args ((< @t202 1))) 15.77/15.99 ; trust MACRO_SR_PRED_TRANSFORM 15.77/15.99 (step @p416 :rule trust :premises (@p415) :args (@t264)) 15.77/15.99 (step @p417 false :rule contra :premises (@p408 @p416)) 15.77/15.99 (step-pop @p504 :rule scope :premises (@p417)) 15.77/15.99 (step-pop @p505 :rule scope :premises (@p504)) 15.77/15.99 (step-pop @p506 :rule scope :premises (@p505)) 15.77/15.99 (step @p418 :rule process_scope :premises (@p506) :args (false)) 15.77/15.99 (assume-push @p422 @t189) 15.77/15.99 (assume-push @p423 @t196) 15.77/15.99 (assume-push @p424 @t191) 15.77/15.99 (assume-push @p425 @t203) 15.77/15.99 (assume-push @p426 @t252) 15.77/15.99 (assume-push @p427 @t196) 15.77/15.99 (assume-push @p428 @t252) 15.77/15.99 (assume-push @p429 @t191) 15.77/15.99 (step @p430 :rule symm :premises (@p96)) 15.77/15.99 (step @p431 :rule cong :premises (@p197 @p197 @p430 @p195) :args (tptp.get)) 15.77/15.99 (step @p432 :rule symm :premises (@p426)) 15.77/15.99 (step @p433 :rule symm :premises (@p432)) 15.77/15.99 (step @p434 :rule cong :premises (@p197 @p197 @p91 @p195) :args (tptp.get)) 15.77/15.99 (step @p435 :rule trans :premises (@p434 @p433 @p431)) 15.77/15.99 (step @p436 :rule cong :premises (@p435) :args (tptp.tb2t)) 15.77/15.99 (step-pop @p507 :rule scope :premises (@p436)) 15.77/15.99 (step-pop @p508 :rule scope :premises (@p507)) 15.77/15.99 (step-pop @p509 :rule scope :premises (@p508)) 15.77/15.99 (step @p437 :rule process_scope :premises (@p509) :args (@t265)) 15.77/15.99 (step @p441 :rule and_intro :premises (@p96 @p426 @p91)) 15.77/15.99 (step @p442 :rule modus_ponens :premises (@p441 @p437)) 15.77/15.99 (step @p443 :rule and_intro :premises (@p442 @p84 @p408)) 15.77/15.99 (step-pop @p510 :rule scope :premises (@p443)) 15.77/15.99 (step-pop @p511 :rule scope :premises (@p510)) 15.77/15.99 (step-pop @p512 :rule scope :premises (@p511)) 15.77/15.99 (step-pop @p513 :rule scope :premises (@p512)) 15.77/15.99 (step-pop @p514 :rule scope :premises (@p513)) 15.77/15.99 (step @p444 :rule process_scope :premises (@p514) :args (@t267)) 15.77/15.99 (step @p450 :rule implies_elim :premises (@p444)) 15.77/15.99 (step @p451 :rule resolution :premises (@p450 @p418) :args (true @t267)) 15.77/15.99 (step @p452 :rule not_and :premises (@p451)) 15.77/15.99 (step @p453 :rule eq_resolve :premises (@p452 @p405)) 15.77/15.99 ; trust MACRO_RESOLUTION_TRUST 15.77/15.99 (step @p454 false :rule trust :premises (@p453 @p402 @p264 @p96 @p91 @p84) :args (false)) 15.77/15.99 15.77/15.99 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.JNMnomoXp5/cvc5---1.0.5_26680.smt2 15.82/15.99 % cvc5---1.0.5 exiting 15.82/15.99 % cvc5---1.0.5 exiting 15.82/15.99 EOF